Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations

doi:10.1209/0295-5075/118/60004

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	Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations
	Zhang, Guoqiang ; Yan, Zhenya1
刊名	EPL
	2017-06-01
卷号	118 期号:6 页码:6
ISSN号	0295-5075
DOI	10.1209/0295-5075/118/60004
英文摘要	In this letter, we present a generalized Darboux transformation (gDT) for the non-local coupled nonlinear Schrodinger equations (nCNLS) with the aid of the loop group method. The associated N-fold Darboux transformation is given in terms of simple determinants. As a consequence, the novel N-th-order soliton solutions are found on the plane-wave background with only one spectral parameter. In particular, rational and semi-rational solutions are obtained such as vector generalization of the first-and second-order rational solutions, and interactions between rational solutions and periodic solutions. The results may be useful to explain the corresponding wave phenomena in nonlocal wave modes. Copyright (C) EPLA, 2017
资助项目	NSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS研究方向	Physics
语种	英语
出版者	EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
WOS记录号	WOS:000408589400004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26485]
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Guoqiang,Yan, Zhenya. Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations[J]. EPL,2017,118(6):6.
APA	Zhang, Guoqiang,&Yan, Zhenya.(2017).Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations.EPL,118(6),6.
MLA	Zhang, Guoqiang,et al."Multi-rational and semi-rational solitons and interactions for the nonlocal coupled nonlinear Schrodinger equations".EPL 118.6(2017):6.